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Finding the Third Proportional to 125,782.50 and 193,054.50

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Solution

The third proportional to 125,782.50 and 193,054.50 is: 296,305.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,782.50 : 193,054.50 = 193,054.50 : x
  2. Step 2: Convert to fraction form
    125,782.50/193,054.50 = 193,054.50/x
  3. Step 3: Cross multiply
    125,782.50x = 193,054.50 × 193,054.50
  4. Step 4: Simplify right side
    125,782.50x = 37,270,039,970.25
  5. Step 5: Solve for x
    x = 37,270,039,970.25/125,782.50
  6. Step 6: Final answer
    x = 296,305.45

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.